What is the Greatest Common Factor of 80816 and 80836?

Greatest common factor (GCF) of 80816 and 80836 is 4.

GCF(80816,80836) = 4

We will now calculate the prime factors of 80816 and 80836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80816 and 80836.

How to find the GCF of 80816 and 80836?

We will first find the prime factorization of 80816 and 80836. After we will calculate the factors of 80816 and 80836 and find the biggest common factor number .

Step-1: Prime Factorization of 80816

Prime factors of 80816 are 2, 5051. Prime factorization of 80816 in exponential form is:

80816 = 2⁴ × 5051¹

Step-2: Prime Factorization of 80836

Prime factors of 80836 are 2, 7, 2887. Prime factorization of 80836 in exponential form is:

80836 = 2² × 7¹ × 2887¹

Step-3: Factors of 80816

List of positive integer factors of 80816 that divides 80816 without a remainder.

1, 2, 4, 8, 16, 5051, 10102, 20204, 40408

Step-4: Factors of 80836

List of positive integer factors of 80836 that divides 80816 without a remainder.

1, 2, 4, 7, 14, 28, 2887, 5774, 11548, 20209, 40418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80816 and 80836. The biggest common factor number is the GCF number.
So the greatest common factor 80816 and 80836 is 4.

Also check out the Least Common Multiple of 80816 and 80836